Source Calibration and Boundary Scans

Packet Energy Source Three-Row Scan

Motional energy follows packet index times spacing. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Motional energy is packet index times spacing

The mode spacing stays fixed. The source packet index sets the displayed motional energy.

En=nhνm=0⋅2 J=0 JE_n=n h\nu_m=0\cdot2\ \text{J}=0\ \text{J}
Packet energy row 0Packet index and motional energy are checked together.lowerEnergy=0 JupperEnergy=8 JqubitGap=8 JpacketIndex=0 packetmodeSpacing=2 JmotionalEnergy=0 JreadoutBit=1 bit

Motional energy is packet index times spacing

The mode spacing stays fixed. The source packet index sets the displayed motional energy.

En=nhνm=2⋅2 J=4 JE_n=n h\nu_m=2\cdot2\ \text{J}=4\ \text{J}
Packet energy row 1Packet index and motional energy are checked together.lowerEnergy=0 JupperEnergy=8 JqubitGap=8 JpacketIndex=2 packetmodeSpacing=2 JmotionalEnergy=4 JreadoutBit=1 bit

Motional energy is packet index times spacing

The mode spacing stays fixed. The source packet index sets the displayed motional energy.

En=nhνm=4⋅2 J=8 JE_n=n h\nu_m=4\cdot2\ \text{J}=8\ \text{J}
Packet energy row 2Packet index and motional energy are checked together.lowerEnergy=0 JupperEnergy=8 JqubitGap=8 JpacketIndex=4 packetmodeSpacing=2 JmotionalEnergy=8 JreadoutBit=1 bit

Each packet row follows the same spacing source

The scan varies only the packet index. The motional energy follows the same displayed spacing in every source row.

nsE020224428\begin{array}{c|c|c}n&s&E\\0&2&0\\2&2&4\\4&2&8\\\end{array}
Packet energy source scanThe middle two-packet source row is displayed.lowerEnergy=0 JupperEnergy=8 JqubitGap=8 JpacketIndex=2 packetmodeSpacing=2 JmotionalEnergy=4 JreadoutBit=1 bit